Finite element simulation of fluid dynamics and CO\(_2\) gas exchange in the alveolar sacs of the human lung

DOI10.1007/s40314-018-0692-5zbMath1413.76060arXiv1804.02768OpenAlexW2963890183MaRDI QIDQ1715695

Stefan Frei, Luis J. Caucha, Obidio Rubio

Publication date: 29 January 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.02768

zbMATH Keywords

artificial boundary conditionsarbitrary Lagrangian-Eulerian (ALE) methodAlveolar gas dynamicsanisotropic pressure stabilisationinterior penalty stabilisationlocal projection stabilisation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Physiological flows (76Z05)

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Uses Software

• UMFPACK
• GASCOIGNE

Cites Work

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• Algorithm 832
• ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
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• Unnamed Item
• Unnamed Item